document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200844>Question 1200844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To qualify for special training, athletes are tested for endurance.<BR>\n" );
document.write( "The scores are normally distributed with a mean of 840 and a standard<BR>\n" );
document.write( "deviation of 89. If only the top 15% of the athletes are selected, what would<BR>\n" );
document.write( "the cutoff score be?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835053 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=835053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> top 15% would be those with scores above 932.243.<BR>\n" );
document.write( "calculator i used can be found at <a  rel=nofollow HREF= \"https://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">https://davidmlane.com/hyperstat/z_table.html</a><BR>\n" );
document.write( "here's a display of the results.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/030901.jpg\">\r<BR>\n" );
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document.write( "if you use z-cores, you would do the followng.<BR>\n" );
document.write( "the z-score with 15% of the area under the normnal distribution cure to the right of it is equal to 1.03643338.<BR>\n" );
document.write( "z-score formuls is z = (x - m) / s<BR>\n" );
document.write( "z is the z-score<BR>\n" );
document.write( "x is the raw score<BR>\n" );
document.write( "m is the mean<BR>\n" );
document.write( "s is the standard deviation<BR>\n" );
document.write( "formula becomes 1.03643338 = (x - 840) / 89.<BR>\n" );
document.write( "solve for x to get x = 89 * 1.03643338 + 840 = 923.2425708.<BR>\n" );
document.write( "round to 923.243 as shown in the calculator. </SPAN>\n" );
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